+0  
 
-4
623
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avatar+73 

Support each answer.

 

1. Given that √2 is an irrational number, is 1 + √2 also irrational?

 

2. Given that π is an irrational number, is 2π also irrational?

 

3. Is the number of irrational numbers between 1 and 2 finite or infinite?

 Sep 21, 2016
 #1
avatar+129852 
+5

1 and 2.....  adding a rational to an irrationall always results in an irrational...this makes sense....since an irrational can't be expressed as a fraction, there is no way of getting a common denominator!!!.....multiplying an irrational by a rational results in an irrational

 

3. The number of irrationals between 1 and 2 is infinite.......in fact.......the number of irrationals between any two irrationals is also infinite, no matter how close together the two irrationals are !!!!

 

 

 

cool cool cool

 Sep 21, 2016
 #2
avatar+73 
-2

Thanks a lot!!!!

GAMEMASTERX40  Sep 21, 2016

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